Answer:
choice 1) -6 and choice 2) -5
Step-by-step explanation:
choice 1)
-(1/2)-6)+6 > 8
9 > 8
choice 2)
-(1/2)(-5)+6 > 8
8 1/2 > 8
Answer:
19
Step-by-step explanation:
Plug in
Answer:
5
Step-by-step explanation:
To write it in standard form, we set the equation equal to 0. To do this, we add 6 to each side:
-6+6 = x² + 4x - 1 + 6
0 = x² + 4x + 5
The related function is
y = x² + 4x + 5
The value of c in this function is 5.
Answer:

Step-by-step explanation:
Using the addition formulae for cosine
cos(x ± y) = cosxcosy ∓ sinxsiny
---------------------------------------------------------------
cos(120 + x) = cos120cosx - sin120sinx
= - cos60cosx - sin60sinx
= -
cosx -
sinx
squaring to obtain cos² (120 + x)
=
cos²x +
sinxcosx +
sin²x
--------------------------------------------------------------------
cos(120 - x) = cos120cosx + sin120sinx
= -cos60cosx + sin60sinx
= -
cosx +
sinx
squaring to obtain cos²(120 - x)
=
cos²x -
sinxcosx +
sin²x
--------------------------------------------------------------------------
Putting it all together
cos²x +
cos²x +
sinxcosx +
sin²x +
cos²x -
sinxcosx +
sin²x
= cos²x +
cos²x +
sin²x
=
cos²x +
sin²x
=
(cos²x + sin²x) = 
Answer:
D
Step-by-step explanation:
Either try all the numbers and see which ones work or do the following.
Times both sides by 2x-5.
3=x(2x-5)=2x^2-5x
Rearrange and solve the quadratic. I will factorise.
2x^2-5x-3=0
(2x+1)(x-3)=0
so x = -1/2 or 3